Naslov
Numerical Computation of Stresses, Strains and Displacements in the thin Plates in Plastic Range

Autori
Pustaić, Dragan

Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni

Izvornik
Proceedings of the DESIGN 2002 / Marjanović, Dorian - Zagreb : Fakultet strojarstva i brodogradnje Sveučilišta u Zagrebu, 2002, 1245-1253

Skup
7th International Design Conference DESIGN 2002

Mjesto i datum
Cavtat, Hrvatska; Dubrovnik, Hrvatska, 14.05.2002. - 17.05.2002

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Finite Element Method; Matrix formulation; Numerical modelling; Plasticity; Thin plate; modelling of

Sažetak
An incremental formulation of the basic equations of the finite element method is described in this paper. These basic equations are used in stress and strain analysis in structures in which plastic strains have occurred. By numerical analysis of the structure in a non-linear range the external loads are applied in increments. It gives a possibility of keeping track of the plastic zones spreading around the geometrical discontinuity as external loads are increased. The elasto-plastic matrix [D]_ep was formed for the case of plane stress. The dependence between incremental stress vector and incremental elastic-plastic strain vector is established through matrix [D]_ep. The elements of the matrix [D]_ep will not be constant in the case of elastic-plastic state in a structure. They will depend on instantaneous state of stress and strain in a structure. The paper deals with an analysis of stresses, strains, displacements and spreading of plastic zones in the thin plates of finite dimensions with the geometrical discontinuities in the form of a circular hole, an elliptical hole and a crack. The plates are uniaxially loaded, on stretching in-plane in the direction perpendicular to the big half-axis of the ellipse, or to the crack plane. The holes boundaries are free from loading. The material of the plates is presented schematically as the elastic-perfectly plastic one. The loading is increased uniformly and monotonously, so the local plastic strains occur on the boundaries of the geometrical discontinuities. Consequently, a need for a non-linear analysis arises. Namely, appearance of plastic strains will not immediately cause a plastic collapse of the whole plate. Such an elastic-plastic state of the plate material can be allowed. The function of a plate as a structural element will not be disturbed in that way. Finally, it will have for a consequence a lighter structural element or what is same, permissible loading of a structure will be greater. A possibility of appearance of plastic strains in a structure requires reliable determination of stresses, strains and displacements.

Izvorni jezik
Engleski

Znanstvena područja
Strojarstvo

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